Year: 2019
Type: article
Abstract: In a simple framework which naturally incorporates dark matter stability and neutrino phenomenology, we compute all the possible texture zeros which arise when the non-Abelian flavor symmetry ${A}_{4}$ is spontaneously broken to ${Z}_{2}$. As a result, we obtain four textures with two vanishing matrix elements. Two of such textures predict a zero contribution to the neutrinoless double beta decay effective mass parameter at tree level, and as a one loop bound we get ${m}_{ee}<8\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}2}\text{ }\text{ }\mathrm{meV}$. These are compatible with the normal ordering for the neutrino masses and the allowed range for the lightest neutrino mass is between ${m}_{{\ensuremath{\nu}}_{\mathrm{min}}}\ensuremath{\sim}3\text{ }\text{ }\mathrm{meV}$ and ${m}_{{\ensuremath{\nu}}_{\mathrm{max}}}\ensuremath{\sim}8\text{ }\text{ }\mathrm{meV}$. Additionally we obtain dark matter stability linked to the way the flavor symmetry is broken, leaving a residual ${Z}_{2}$ symmetry.
Institution: Universidad Nacional Autónoma de México
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W2902327010